What is the Greatest Common Factor of 66400 and 66420?

Greatest common factor (GCF) of 66400 and 66420 is 20.

GCF(66400,66420) = 20

We will now calculate the prime factors of 66400 and 66420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66400 and 66420.

How to find the GCF of 66400 and 66420?

We will first find the prime factorization of 66400 and 66420. After we will calculate the factors of 66400 and 66420 and find the biggest common factor number .

Step-1: Prime Factorization of 66400

Prime factors of 66400 are 2, 5, 83. Prime factorization of 66400 in exponential form is:

66400 = 2⁵ × 5² × 83¹

Step-2: Prime Factorization of 66420

Prime factors of 66420 are 2, 3, 5, 41. Prime factorization of 66420 in exponential form is:

66420 = 2² × 3⁴ × 5¹ × 41¹

Step-3: Factors of 66400

List of positive integer factors of 66400 that divides 66400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 83, 100, 160, 166, 200, 332, 400, 415, 664, 800, 830, 1328, 1660, 2075, 2656, 3320, 4150, 6640, 8300, 13280, 16600, 33200

Step-4: Factors of 66420

List of positive integer factors of 66420 that divides 66400 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 41, 45, 54, 60, 81, 82, 90, 108, 123, 135, 162, 164, 180, 205, 246, 270, 324, 369, 405, 410, 492, 540, 615, 738, 810, 820, 1107, 1230, 1476, 1620, 1845, 2214, 2460, 3321, 3690, 4428, 5535, 6642, 7380, 11070, 13284, 16605, 22140, 33210

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66400 and 66420. The biggest common factor number is the GCF number.
So the greatest common factor 66400 and 66420 is 20.

Also check out the Least Common Multiple of 66400 and 66420